(a) To find the greatest common factor (GCF) of 56 and 35, we first list the factors of each number:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 35: 1, 5, 7, 35

The common factors of 56 and 35 are 1 and 7. Therefore, the GCF of 56 and 35 is 7.

(b) To use the GCF to factor -5635, we divide -5635 by the GCF.

So, -5635 ÷ 7 = -805.

Therefore, -5635 can be factored as -805 × -7.

Question

(a) To find the greatest common factor (GCF) of 56 and 35, we first list the factors of each number:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 35: 1, 5, 7, 35

The common factors of 56 and 35 are 1 and 7. Therefore, the GCF of 56 and 35 is 7.

(b) To use the GCF to factor -5635, we divide -5635 by the GCF.

So, -5635 ÷ 7 = -805.

Therefore, -5635 can be factored as -805 × -7.

Knowee AI · Accepted Answer

(a) To find the greatest common factor (GCF) of 56 and 35, we first list the factors of each number:

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 35: 1, 5, 7, 35

The common factors of 56 and 35 are 1 and 7. Therefore, the GCF of 56 and 35 is 7.

(b) To use the GCF to factor -5635, we divide -5635 by the GCF.

So, -5635 ÷ 7 = -805.

Therefore, -5635 can be factored as -805 × -7.

Complete the following.(a) Find the greatest common factor (GCF) of 56 and 35.=GCF(b) Use the GCF to factor −5635.=−5635×−